Alistair is in the business of making office products for schools and colleges. Alistair realizes that there are many other firms manufacturing similar products. Why does Alistair require risk management?
A.
to cover his risk of product liability
B.
to cover the risk of stiff competition
C.
to cover expenses of raw material
D.
to cover expenses incurred to maintain their ethical standard


CORRECT ANSWER- to cover the risk of stiff competition

Answer:

I think the answer is 36

Step-by-step explanation:

I reduced 20in and I got 15inches

then as we know perimeter is the distance right round the shape so I add 15, 9 and 12 and I got 36

The volume of the oblique cylinder is approximately 1,356.4 cubic units.

The formula for determining the volume of an oblique cylinder is expressed as;

V = πr²h

Where v is the volume of the oblique cylinder

r is the radius of the oblique cylinder

h is the height of the oblique cylinder

To find the volume of an oblique cylinder, we need its base area and its height.

Now, substitute the values into the formula

Volume, v = 3. 14 ×(6)² × 12

find the square of the value;

Volume, v = 3. 14 × 36× 12

Multiply the values

Volume, v = 1,356.4  cubic units

Therefore, the volume of the oblique cylinder is approximately 1,356.4  cubic units

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Answer:

2/1

Step-by-step explanation:

So you want to find a point where the line crosses a intersection near perfectly, point A (1,3) and then a second point, B (2,5)

and then you count up from point a, on the Y axis until you are even with the second point, that number is your RISE

it is 2

then you just count over to point B from that spot where you counted up. RUN TO IT

1

so it is 2/1 or just 2

((point (0,1) would have worked too))

The y-coordinate of the point on the line when x = 8 is -1

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Point, (x1, y1) = (2, -4)

The linear equation is calculated as

y = m(x - x1) + y1

So, we have

y = 1/2(x - 2) - 4

When x = 8, we have

y = 1/2(8 - 2) - 4

Evaluate

y = -1

Hence, the y-coordinate of the point on the line when x = 8 is -1

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Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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Answer:

1. y = 2x + 7

Step-by-step explanation:

The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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Answer:

because x^n+1 =

the number which is n and n is an odd number and my odd number is 3 so

x^3+1= 4

= x^4

The solution of the trigonometric equation -cot²θ = 1 + 2cotθ. is θ =3 π/4 or 7π/4

A trigonometric equation is an equation that contains the trigonometric ratios.

Given that  -cot²θ = 1 + 2cotθ.

We solve the trigonometric equation as follows

-cot²θ = 1 + 2cotθ

Re-arranging the equation, we have that

-cot²θ - 2cotθ - 1 = 0

Dividing through by - 1, we have

cot²θ + 2cotθ + 1 = 0

Factorizing the equation, we have that

cot²θ + cotθ + cotθ + 1 = 0

cotθ(cotθ + 1) + (cotθ + 1) = 0

(cotθ + 1)(cotθ + 1) = 0

(cotθ + 1)² = 0

(cotθ + 1) = 0

cotθ = -1  (twice)

1/tanθ = -1    (since cotθ = 1/tanθ)

tanθ = -1  

Taking inverse tan of both sides, we have

θ = tan⁻¹(-1)

= π -  π/4 or 2π - π/4

= 3π/4 or 7π/4

So, the solution is θ = 3π/4 or 7π/4

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Answer:

The answer is 215. Hope it helped.

Step-by-step explanation:

Answer:

215

Step-by-step explanation:

Answer:

4 /3 or 1.33 hours

Explanation:

The relationship between raking rate v, the time t and the distance to rake D is given by

The above can be solved for t to give

It takes brian 4 hours to rake the front lawn. Therefore,

solving for vb gives

It takes John two hours to take the same lawn. Therefore,

solving for vj gives

where

v_b = rate at which brian rakes

v_j = rate at which john rakes.

Now, if they both worked together, then their raking rate would be,

Therefore, the time it takes to rake the same lawn would be

Since we found that v_b = D / 4 and v_j = D /2, the above gives

Answer:

449 minutes

Step-by-step explanation:

total bill is 61.45, minus 30 dollars gives 31.45 dollars paid for all minutes you talked. divide this by the amount you pay for 1 minute (= 0.07) equals 449.29 minutes

Answer:

b.$25.20

Step-by-step explanation:

Calculation for how much is the warranty

Using this formula

Warranty cost=Extended warranty purchase d price percentage*Purchased Price

Let plug in the formula

Warranty cost =18%*$140

Warranty cost =$25.20

Therefore the warranty cost will be $25.20

Answer:

B

Step-by-step explanation:

Answer: \($m=-\frac{1}{22}$\)   \($b=\frac{15}{22}$\)

Step-by-step explanation:

To find the equation of the tangent line to the curve \($xy^3+xy= 14$\) at the point \($(7,1)$\) we need to first find the derivative of the equation with respect to x using implicit differentiation.

Taking the derivative of both sides with respect to x:

\($\frac{d}{dx}(xy^3+xy)=\frac{d}{dx}(14)$\)

Using the product rule and chain rule:

\($y^3+x(3y^2\frac{dy}{dx}+y)=0$\)

Simplifying and solving for \($\frac{dy}{dx}$\)

\($\frac{dy}{dx}=-\frac{y}{3y^2+1}$\)

Now we can substitute x=7 and y=1 into this equation to find the slope of the tangent line at the point (7,1):

\($m=\left.-\frac{y}{3y^2+1}\right|_{(7,1)}=-\frac{1}{22}$\)

So the slope of the tangent line is \($-\frac{1}{22}$\)

To find the y-intercept, we can use the point-slope form of the equation of a line:

\($y-1 = m(x-7)$\)

\($y=mx+(1-7m)$\)

Therefore, the equation of the tangent line to the curve \($xy^3+xy=14$\) at the point (7,1) can be written as:

\($y=-\frac{1}{22}x+\frac{15}{22}$\)

So \($m=-\frac{1}{22}$\) and \($b=\frac{15}{22}$\)

Answer: -2 and 4

Step-by-step explanation:

\(f(x) = \frac{-2x+2}{2x+4}\)            g(x) = -2x+8

Question asks what the domain is if we had f(x) ÷ g(x)

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4}\)  ÷                  >When dividing fractions, keep the first

                                                      Change the sign, flip the second fraction

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{2x+4} * \frac{1}{-2x+8}\)        

\(\frac{f(x)}{g(x)} = \frac{-2x+2}{(2x+4)(-2x+8)}\)          

> you can never get a 0 on the bottom of division so that is where the exception of what x cannot be.

2x+4 = 0

2x= -4

x =  -2

and

-2x+8 = =

-2x = -8

x = 4

So x cannot be -2 and 4

Answer:

I really need points

Good luck with your question tho

Answer:

(2/7*-6)-1/7*-5)

=-12/7--5/7

=7/7

=1

Step-by-step explanation:

i think the answer is positive

a. The relation is an equivalence relation, and its corresponding partition has blocks {1, 4}, {2}, and {3}.

b. The relation is not specified.

c. The relation is not an equivalence relation because it is not transitive.

d. The relation is not an equivalence relation because it is not reflexive.

a. The relation is an equivalence relation because it is reflexive, symmetric, and transitive. The blocks of its corresponding partition are {1, 4} and {2} and {3}.

b. The relation is not specified, so it is impossible to determine whether it is an equivalence relation or not.

c. The relation is not an equivalence relation because it is not transitive. Specifically, (3, 1) and (1, 3) are in the relation, but (3, 3) is not.

d. The relation is not an equivalence relation because it is not reflexive (i.e., 1 and 4 are not related to themselves).

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Answer:

choice C) 1:3 and 33 1/3%

Step-by-step explanation:

Answer:

I think it's C

Step-by-step explanation:

cause 4/12 is 1:3

Answer:

Step-by-step explanation:

If \(f(x)=6x^2+8\), then

\(f(a)=6a^2+8\) since we just replace "x" with "a"

\(f(a+h)=6(a+h)^2+8\) since we just replace "x" with "a+h"

Now we can simplify \(f(a+h)\) as follows:

    \(\begin{aligned}f(a+h)&=6(a+h)^2+8\\[0.5em] &=6(a^2+2ah+h^2)+8\\[0.5em] &=6a^2+12ah+6h^2+8\\[0.5em] \end{aligned}\)

Now getting to the final piece, which puts the last two answers together:

     \(\begin{aligned} \dfrac{f(a+h)-f(a)}{h} &= \dfrac{(6a^2+12ah+6h^2+8) - (6a^2+8)}{h} \\[0.5em]&= \dfrac{6a^2+12ah+6h^2+8 - 6a^2-8}{h} \\[0.5em]&= \dfrac{12ah+6h^2}{h} \\[0.5em]&= 12a+6h ~~~~\text{for } h\neq0 \\[0.5em]\end{aligned}\)

The cost of one barrel of gasoline given the total amount made from all the barrels sold is $20.

A pie chart is a graph that displays information using a circle. The circle is divided into sections which represent a numerical proportion. The sum of percentages in a pie chart is 100%.

The first step is to determine the number of barrel of gasoline.

Number of barrels of gasoline = percentage of gasoline x number of barrels

34% x 60 million

0.34 x 60 million = 20.4 barrels

The second step is to divide the total amount generated from the sales by the number of barrels.

Cost of one barrel of gasoline = 408 million / 20.4 million = $20

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Answer:

The correct option is B. Pyramids have triangular faces and a polygonal base.

Answer:B. Pyramids have triangular faces and a polygonal base.

Step-by-step explanation:

A pyramid is a three-dimensional shape that has a polygonal base and triangular faces that meet at a single point called the apex. Here's how to identify which of the given descriptions best suits a pyramid:

A. Pyramids have polygonal faces and a triangular base.

This description is incorrect because pyramids have a polygonal base, not a triangular base.

B. Pyramids have triangular faces and a polygonal base.

This description is correct because it correctly identifies that pyramids have triangular faces and a polygonal (meaning multi-sided) base.

C. Pyramids have triangular faces and a circular base.

This description is incorrect because pyramids have a polygonal base, not a circular base.

D. Pyramids have polygonal faces and a polygonal base.

This description is partly correct because pyramids do have a polygonal base, but their faces are always triangular.

E. Pyramids have curved faces and a polygonal base.

This description is incorrect because pyramids have flat, triangular faces, not curved faces.

So, in summary, option B, "Pyramids have triangular faces and a polygonal base," is the description that best suits a pyramid.

Answer:

0.508 cm are in 1/5 or 0.2 .

Answer:

3.81 !!!!

Step-by-step explanation:

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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Plan B pays more $2,683,948.55 more than plan A.

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.

The first payment plan forms an arithmetic progression with first term

\(a_{1} =\) $1 and common difference d = $1.

The total amount gotten after 4 weeks is the sum of the terms in the arithmetic progression when the number of terms is \((4\times7) = 28 days\)

\(S_{n}=\frac{a}{2}[2a_{1} +(n-1)d]\)

Total payment = \(S_{n}=\frac{28}{2}[2(1) +(28-1)1]\)

= \(14(2+27)\)

= \(14(29)\)

= $406

The second payment plans a geometric progression with first term

\(a_{1} =\) $0.01 and common difference r = 2.

The total amount gotten after 4 weeks is the sum of the first 28 terms of the geometric progression

\(S_{n}=\frac{a_{1}(1-r^{n} ) }{1-r}\)

Total payment = \(\frac{0.01(1-2^{28}) }{1-2}\)

= \(\frac{-2684354.55}{-1}\)

= $2684354.55

The second plan pays more by

= $2684354.55 - $406

= $2683948.55

Plan B pays more $2,683,948.55 more than plan A.

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